In online educational systems we can easily collect and analyze extensive data about student learning. Current practice, however, focuses only on some aspects of these data, particularly on correctness of students answers. When a student answers incorrectly, the submitted wrong answer can give us valuable information. We provide an overview of…

Mathematics teachers are often asked, "What is the most difficult topic for you to teach?" Their answer is teaching students to count. The concepts can be challenging and slippery to apply in problems. Many times, no rigid procedures or formulas can be used to solve the problems directly, and students simply do not know where or how to approach…

The 2012 edition of the "Digest of Education Statistics" is the 48th in a series of publications initiated in 1962. The "Digest" has been issued annually except for combined editions for the years 1977-78, 1983-84, and 1985-86. Its primary purpose is to provide a compilation of statistical information covering the broad field…

The 2011 edition of the "Digest of Education Statistics" is the 47th in a series of publications initiated in 1962. The "Digest" has been issued annually except for combined editions for the years 1977-78, 1983-84, and 1985-86. Its primary purpose is to provide a compilation of statistical information covering the broad field…

Mathematics and science are important for success in school, but learning mathematics and science can be a difficult task to some students. Efforts to improve students' learning of school mathematics and science have led to reform efforts in curriculum and instruction over the past decades (e.g., National Council of Teachers of Mathematics [NCTM],…

The paper addresses provisions for a diagnostically based remedial component for children manifesting clear and specific learning disabilities in mathematics. A model, the interactive unit, upon which a sequential program that systematically minimizes learning disabilities on mathematics performance is introduced. It is explained that the…

Illustrates common mistakes teachers usually make when discussing physical phenomena. Presents correct and incorrect explanations for five common science demonstrations. (SK)

This paper describes the Qualitative Analysis of Silent and Oral Reading Instrument (QASOR), which was developed to provide an alternative to the Reading Miscue Inventory for observing the oral and silent reading of students in the middle and secondary grades. An overview of QASOR shows that it is designed for use by reading specialists and…

This paper analyzes "confused history" on the part of students and where that confusion might originate. The study is based on a modified form of content analysis of articles by R. Lederer. The articles offer a compilation of student errors in history and geography. Two major categories of errors are recognized: (1) Type I, represented by errors…

Advances the idea that performance errors should contribute positively to the process of learning. Argues that errors do not occur randomly and that instructional theory should not condemn errors, but seek them. (PK)

The article explores information processing models of spelling performance and argues that an adequate theory of spelling processes must include: (1) qualitative changes in performance as a function of maturation that underlie development of automaticity; (2) transactional development of spelling-related knowledge structures and efficient…

Discusses the value of studying errors made by students in the process of learning science. Addresses 20 research questions dealing with student learning errors. Attempts to characterize errors made by students and clarify some terms used in error research. (TW)

TORUS, a prototype technology-based educational diagnostic program, is described. The usefulness of TORUS to identify and remediate the mathematics misconceptions of students with learning disabilities is reported. Results suggest the need for greater emphasis on conceptual understanding in mathematics instruction. (Author/DB)

The interlanguage hypothesis stresses that errors are a normal part of the language learning process. At the same time, in the view of many, the teacher has a responsibility to provide short cuts for the learner through appropriate corrective feedback. Conventionally, this has been taken to imply correction of expression by requiring repetition of…